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Finding the Third Proportional to 39,340 and 60,176

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Solution

The third proportional to 39,340 and 60,176 is: 92,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,340 : 60,176 = 60,176 : x
  2. Step 2: Convert to fraction form
    39,340/60,176 = 60,176/x
  3. Step 3: Cross multiply
    39,340x = 60,176 × 60,176
  4. Step 4: Simplify right side
    39,340x = 3,621,150,976
  5. Step 5: Solve for x
    x = 3,621,150,976/39,340
  6. Step 6: Final answer
    x = 92,047.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.